A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes
Year: 2016
Author: Yunlong Yu, Yanzhong Yao, Guangwei Yuan, Xingding Chen
Communications in Computational Physics, Vol. 20 (2016), Iss. 5 : pp. 1405–1423
Abstract
In this paper, a conservative parallel iteration scheme is constructed to solve nonlinear diffusion equations on unstructured polygonal meshes. The design is based on two main ingredients: the first is that the parallelized domain decomposition is embedded into the nonlinear iteration; the second is that prediction and correction steps are applied at subdomain interfaces in the parallelized domain decomposition method. A new prediction approach is proposed to obtain an efficient conservative parallel finite volume scheme. The numerical experiments show that our parallel scheme is second-order accurate, unconditionally stable, conservative and has linear parallel speed-up.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.230815.030616a
Communications in Computational Physics, Vol. 20 (2016), Iss. 5 : pp. 1405–1423
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Author Details
Yunlong Yu Email
Yanzhong Yao Email
Guangwei Yuan Email
Xingding Chen Email
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